details/L11n379_1_1_f800dc95.json

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2^(-1/2)*A3^(1/2) - A1^(1/2)*A2^(-5/2)*A3^(1/2) + A1^(-1/2)*A2^(5/2)*A3^(-1/2) - A1^(-1/2)*A2^(1/2)*A3^(-1/2)

Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.

Newton Projection of Alexander-0.500.5-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(1, -1, 1) yes
(1, -5, 1) yes
(-1, 1, -1) yes
(-1, 5, -1) yes
Interactive 3D view · hover a vertex for coordinates

HFL polytope

Poincaré polynomial
m^(-4)*A1^(-1)*A3^(-1) + m^(-4)*A2^(-3) + m^(-3)*A1^(-1) + m^(-3)*A1^(-1)*A2*A3^(-1) + m^(-3)*A2^(-3)*A3 + m^(-3)*A2^(-2) + 2*m^(-3)*A2^(-1) + m^(-3)*A3^(-1) + m^(-3)*A1*A2^(-3) + m^(-2)*A1^(-1)*A2 + m^(-2)*A2^(-2)*A3 + m^(-2)*A2^(-1) + m^(-2)*A2^(-1)*A3 + 3*m^(-2) + m^(-2)*A2*A3^(-1) + m^(-2)*A1*A2^(-3)*A3 + m^(-2)*A1*A2^(-2) + m^(-2)*A1*A2^(-1) + m^(-1)*A1^(-1)*A2^2*A3^(-1) + m^(-1) + m^(-1)*A3 + 2*m^(-1)*A2 + m^(-1)*A1*A2^(-2)*A3 + m^(-1)*A1*A2^(-1)*A3 + m^(-1)*A1 + A1^(-1)*A2^2 + A1^(-1)*A2^3*A3^(-1) + A2 + A2^2*A3^(-1) + A1*A3 + m*A1^(-1)*A2^3 + m*A2^2 + m*A2^3*A3^(-1) + m^2*A2^3
VertexMaslovRank
(-1, 0, -1)-41
(-1, 0, 0)-31
(-1, 3, -1)01
(-1, 3, 0)11
(0, -3, 0)-41
(0, -3, 1)-31
(0, 0, -1)-31
(0, 0, 1)-11
(0, 3, -1)11
(0, 3, 0)21
(1, -3, 0)-31
(1, -3, 1)-21
(1, 0, 0)-11
(1, 0, 1)01
Interactive 3D view · hover a vertex for coordinates

Record

FL/HFL Links

orderOption(int) 3380
namestring L11n379{1;1}
statusstring success
slugstring L11n379_1_1_f800dc95
result_filestring details/L11n379_1_1_f800dc95.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 38
wall_secondsOption(float) 0.001901
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 31
vertex_countOption(int) 14
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 4
alexander_vertex_countOption(int) 0
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks)
{
  "dataset": "FLHFLLinks",
  "key": "L11n379_1_1_f800dc95"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n379_1_1_f800dc95